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We present a mixed finite element solver for the linearized R13 equations ofnon-equilibrium gas dynamics. The Python implementation builds upon thesoftware tools provided by the FEniCS computing platform. We describe a newtensorial approach utilizing the extension capabilities of FEniCS's UnifiedForm Language (UFL) to define required differential operators for tensors abovesecond degree. The presented solver serves as an example for implementingtensorial variational formulations in FEniCS, for which the documentation andliterature seem to be very sparse. Using the software abstraction levelsprovided by the UFL allows an almost one-to-one correspondence between theunderlying mathematics and the resulting source code. Test cases support thecorrectness of the proposed method using validation with exact solutions. Tojustify the usage of extended gas flow models, we discuss typical applicationcases involving rarefaction effects. We provide the documented and validatedsolver publicly.

fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform